Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 6 - Section 6.1 - Circles and Related Segments and Angles - Exercises - Page 276: 23f


We find that when chords are congruent, the central angles are congruent as well.

Work Step by Step

The best way to prove this problem is to use what we found in the previous parts of this problem. In part c, we determined that congruent chords have congruent arcs. Then, in part a, we determined that congruent arcs have congruent central angles. Thus, by the transitive property, we obtain that congruent chords have congruent central angles.
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